Given numbers are 495,58,493

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 495,58,493 is 488070.

Find LCM of 495,58,493 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

29 x 495 x 2 x 17 = 488070

Therefore, the lowest common multiple of 495,58,493 is 488070.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

495 x 58 x 493 = 14154030

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

58 : 1, 2, 29, 58

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,58,493, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

58:2x 29

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

29 = 29

Therefore, the value for common factors is 29.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 14154030/(1x29)

LCM = 14154030/29

LCM = 488070

Thus, we can understand that the LCM of 495,58,493 is 488070.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 970, 33, 780
• LCM of 561, 19, 520
• LCM of 420, 74, 670
• LCM of 196, 72, 742
• LCM of 877, 12, 813

1. What is the LCM of 495, 58, 493?

Answer: LCM of 495, 58, 493 is 488070.

2. How to calculate the LCM of 495, 58, 493?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 495, 58, 493.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.